135476640 has 144 divisors (see below), whose sum is σ = 497945448. Its totient is φ = 33343488.

The previous prime is 135476633. The next prime is 135476651. The reversal of 135476640 is 46674531.

It is a happy number.

135476640 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 7 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 95179536 + 40297104 = 9756^2 + 6348^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 135476595 and 135476604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15102 + ... + 22338.

Almost surely, 2^135476640 is an apocalyptic number.

135476640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135476640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248972724).

135476640 is an abundant number, since it is smaller than the sum of its proper divisors (362468808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135476640 is a wasteful number, since it uses less digits than its factorization.

135476640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7271 (or 7260 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 135476640 is about 11639.4432856559. The cubic root of 135476640 is about 513.5958103714.

The spelling of 135476640 in words is "one hundred thirty-five million, four hundred seventy-six thousand, six hundred forty".